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Finding the Fourth Proportional to 7,145.87, 10,718.47 and 1,951.76

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Solution

The fourth proportional to 7,145.87, 10,718.47 and 1,951.76 is: 2,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.87 : 10,718.47 = 1,951.76 : x
  2. Step 2: Convert to fraction form
    7,145.87/10,718.47 = 1,951.76/x
  3. Step 3: Cross multiply
    7,145.87x = 10,718.47 × 1,951.76
  4. Step 4: Simplify right side
    7,145.87x = 20,919,822.54
  5. Step 5: Solve for x
    x = 20,919,822.54/7,145.87
  6. Step 6: Final answer
    x = 2,927.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.